dc.contributorhttp://lattes.cnpq.br/6975165037874387
dc.creatorCandido, Leandro [UNIFESP]
dc.creatorGuzmán, Hector Hecsan Torres [UNIFESP]
dc.date.accessioned2023-07-05T17:25:04Z
dc.date.accessioned2023-09-04T19:05:44Z
dc.date.available2023-07-05T17:25:04Z
dc.date.available2023-09-04T19:05:44Z
dc.date.created2023-07-05T17:25:04Z
dc.date.issued2023-03
dc.identifierhttps://repositorio.unifesp.br/11600/68459
dc.identifierdoi.org/10.1090/proc/16206
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8622676
dc.description.abstractWe prove that the Lipschitz-free space over a Banach space X of density κ, denoted by F (X), is linearly isomorphic to the l 1 -sum of κ copies of F (X) . This provides an extension of a previous result from Kaufmann in the context of non-separable Banach spaces. Further, we obtain a complete classification of the spaces of real-valued Lipschitz functions that vanish at 0 over a L p -space. More precisely, we establish that, for every 1 ≤ p ≤ ∞, if X is a L p -space of density κ, then Lip 0 (X) is either isomorphic to Lip 0 (l p (κ)) if p < ∞, or Lip 0 (c 0 (κ)) if p = ∞.
dc.publisherStephen Dilworth
dc.relationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.rightsAcesso restrito
dc.subjectLipschitz-free spaces
dc.subjectspaces of Lipschitz functions
dc.subjectspaces of contin- uous functions
dc.titleON LARGE l 1 -SUMS OF LIPSCHITZ-FREE SPACES AND APPLICATIONS
dc.typeArtigo


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